How Does a Horse's Size Influence Its Maximum Speed?

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The discussion focuses on estimating a horse's maximum speed based on its dimensions, specifically a height of 1.8 m and width of 0.5 m. The relevance of these dimensions is linked to calculating drag force, which affects speed. The participant attempts to derive the maximum speed using the drag equation and power output, suggesting that the power of a horse is approximately 1 horsepower. The calculation leads to an estimated maximum speed of about 14.9 m/s. Overall, the conversation highlights the relationship between a horse's size, drag, and speed estimation.
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Homework Statement


Estimate the maximum speed of a horse. Assume that a horse is 1.8 m tall and .5 m wide.


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The Attempt at a Solution



This problem is from the work & energy chapter in my book. However, I can't figure out the relevance of the dimensions of the horse. I don't even know where to start. Does this have something to do with horsepower? I'm confused.
 
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Hmmm... the dimensions probably have to do with the force of drag:

(1/4)(.9 m^2)v^2= Drag

So, the only force acting on the horse is drag:

Drag= (.225)v^2

P= Fvcostheta

So maybe the power of a horse is 1hp? 1hp = 746 W
746W= .225*v^2 * v
746 J/s = .225 v^3
v=14.9 m/s ?
 
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